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475116027540 = 22357211217251313
BaseRepresentation
bin1101110100111110001…
…11110011111010010100
31200102100122121221021220
412322133013303322110
530241014200340130
61002133145210340
746216550412600
oct6723707637224
91612318557256
10475116027540
1117354a67a700
12780b74909b0
1335a5997a30b
1418dd2440500
15c55b22e410
hex6e9f1f3e94

475116027540 has 864 divisors, whose sum is σ = 1814004968832. Its totient is φ = 92252160000.

The previous prime is 475116027527. The next prime is 475116027563. The reversal of 475116027540 is 45720611574.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 475116027492 and 475116027501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1517942424 + ... + 1517942736.

It is an arithmetic number, because the mean of its divisors is an integer number (2099542788).

Almost surely, 2475116027540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475116027540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907002484416).

475116027540 is an abundant number, since it is smaller than the sum of its proper divisors (1338888941292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475116027540 is a wasteful number, since it uses less digits than its factorization.

475116027540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 475116027540 in words is "four hundred seventy-five billion, one hundred sixteen million, twenty-seven thousand, five hundred forty".